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2269000400 = 24525672501
BaseRepresentation
bin1000011100111110…
…0011001011010000
312212010112011101212
42013033203023100
514121331003100
61013052315252
7110141120342
oct20717431320
95763464355
102269000400
11a64878647
12533a72b28
132a21101b4
141774bd292
15d42eb635
hex873e32d0

2269000400 has 30 divisors (see below), whose sum is σ = 5451274422. Its totient is φ = 907600000.

The previous prime is 2269000373. The next prime is 2269000411. The reversal of 2269000400 is 40009622.

It can be written as a sum of positive squares in 3 ways, for example, as 140469904 + 2128530496 = 11852^2 + 46136^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2835851 + ... + 2836650.

Almost surely, 22269000400 is an apocalyptic number.

2269000400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2269000400 is an abundant number, since it is smaller than the sum of its proper divisors (3182274022).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2269000400 is a wasteful number, since it uses less digits than its factorization.

2269000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5672519 (or 5672508 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 2269000400 is about 47634.0256539378. The cubic root of 2269000400 is about 1314.0488913016.

The spelling of 2269000400 in words is "two billion, two hundred sixty-nine million, four hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 5672501 11345002 22690004 28362505 45380008 56725010 90760016 113450020 141812525 226900040 283625050 453800080 567250100 1134500200 2269000400